Online GCD Calculator is useful to find the GCD of 956, 288, 320, 984 quickly. Get the easiest ways to solve the greatest common divisor of 956, 288, 320, 984 i.e 4 in different methods as follows.
Given Input numbers are 956, 288, 320, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (956, 288, 320, 984) = 4.
Given numbers are 956, 288, 320, 984
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 956, 288, 320, 984 is 4.
Given numbers are 956, 288, 320, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 288) = 68832
GCD(956, 288) = ( 956 x 288 ) / 68832
= 956 / 288
= 956
Step2:
LCM(4, 320) = 320
GCD(4, 320) = ( 4 x 320 ) / 320
= 4 / 320
= 4
Step3:
LCM(4, 984) = 984
GCD(4, 984) = ( 4 x 984 ) / 984
= 4 / 984
= 4
So, Greatest Common Divisor of 956, 288, 320, 984 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 288, 320, 984
The greatest common divisor of numbers 956, 288, 320, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 288, 320, 984 is 4.
1. What is the GCD of 956, 288, 320, 984?
GCD of given numbers 956, 288, 320, 984 is 4
2. How to calculate the greatest common divisor of 956, 288, 320, 984?
We can find the highest common divisor of 956, 288, 320, 984 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 956, 288, 320, 984 i.e 4.
3. How can I use the GCD of 956, 288, 320, 984Calculator?
Out the numbers 956, 288, 320, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.